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Theorem subrec-01

⊦ x ⊆m a ' + y ↔ #oc(a, x) ≤ #oc(a, y) + 1 ∧ x -1l a ⊆m y

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: del,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 5
Used lemmas: del1-01, one-01, oc, one, ocappend, subrec, oc-e, subempty,
Used spec theorems:
- Used simplifier rules:
  - nat/lez
  - list-del/del1-e
  - list/in-rec
  - list/c
  - list-del/del1-y
  - nat/lep-02
  - nat/lels-01
  - nat-basic2/c
  - nat-basic2/a
  - nat-basic2/add-base
  - list/a
  - list-del/del1-n